## Results (1-50 of 237 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
130.2.a.a $$1$$ $$1.038$$ $$\Q$$ None $$-1$$ $$-2$$ $$1$$ $$-4$$ $$+$$ $$q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}-4q^{7}+\cdots$$
130.2.a.b $$1$$ $$1.038$$ $$\Q$$ None $$1$$ $$0$$ $$1$$ $$0$$ $$-$$ $$q+q^{2}+q^{4}+q^{5}+q^{8}-3q^{9}+q^{10}+\cdots$$
130.2.a.c $$1$$ $$1.038$$ $$\Q$$ None $$1$$ $$2$$ $$-1$$ $$-4$$ $$-$$ $$q+q^{2}+2q^{3}+q^{4}-q^{5}+2q^{6}-4q^{7}+\cdots$$
130.2.b.a $$6$$ $$1.038$$ 6.0.3534400.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}+(\beta _{3}-\beta _{4})q^{3}-q^{4}+(\beta _{3}+\beta _{5})q^{5}+\cdots$$
130.2.c.a $$4$$ $$1.038$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None $$-4$$ $$0$$ $$3$$ $$2$$ $$q-q^{2}-\beta _{2}q^{3}+q^{4}+(1-\beta _{3})q^{5}+\beta _{2}q^{6}+\cdots$$
130.2.c.b $$4$$ $$1.038$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None $$4$$ $$0$$ $$-3$$ $$-2$$ $$q+q^{2}-\beta _{2}q^{3}+q^{4}+(-1+\beta _{3})q^{5}+\cdots$$
130.2.d.a $$2$$ $$1.038$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q+iq^{2}+2q^{3}-q^{4}+iq^{5}+2iq^{6}+\cdots$$
130.2.e.a $$2$$ $$1.038$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$2$$ $$3$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+q^{5}+3\zeta_{6}q^{7}+\cdots$$
130.2.e.b $$2$$ $$1.038$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$2$$ $$-2$$ $$1$$ $$q+(1-\zeta_{6})q^{2}+(2-2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
130.2.e.c $$4$$ $$1.038$$ $$\Q(\sqrt{-3}, \sqrt{10})$$ None $$-2$$ $$0$$ $$-4$$ $$2$$ $$q+\beta _{2}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(-1-\beta _{2}+\cdots)q^{4}+\cdots$$
130.2.e.d $$4$$ $$1.038$$ $$\Q(\zeta_{12})$$ None $$2$$ $$-2$$ $$4$$ $$2$$ $$q+\zeta_{12}q^{2}+(-\zeta_{12}+\zeta_{12}^{2})q^{3}+(-1+\cdots)q^{4}+\cdots$$
130.2.g.a $$2$$ $$1.038$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$-4$$ $$-4$$ $$0$$ $$q-q^{2}+(-2-2i)q^{3}+q^{4}+(-2-i)q^{5}+\cdots$$
130.2.g.b $$2$$ $$1.038$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$2$$ $$-2$$ $$0$$ $$q-q^{2}+(1+i)q^{3}+q^{4}+(-1+2i)q^{5}+\cdots$$
130.2.g.c $$2$$ $$1.038$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$-2$$ $$2$$ $$0$$ $$q+q^{2}+(-1-i)q^{3}+q^{4}+(1-2i)q^{5}+\cdots$$
130.2.g.d $$4$$ $$1.038$$ $$\Q(i, \sqrt{11})$$ None $$-4$$ $$2$$ $$6$$ $$0$$ $$q-q^{2}+(-\beta _{1}+\beta _{2}-\beta _{3})q^{3}+q^{4}+\cdots$$
130.2.g.e $$4$$ $$1.038$$ $$\Q(\zeta_{12})$$ None $$4$$ $$2$$ $$-2$$ $$0$$ $$q+q^{2}+(1-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+\cdots$$
130.2.j.a $$2$$ $$1.038$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$-4$$ $$-2$$ $$-8$$ $$q-iq^{2}+(-2+2i)q^{3}-q^{4}+(-1+\cdots)q^{5}+\cdots$$
130.2.j.b $$2$$ $$1.038$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$-2$$ $$-4$$ $$-4$$ $$q+iq^{2}+(-1+i)q^{3}-q^{4}+(-2+i)q^{5}+\cdots$$
130.2.j.c $$2$$ $$1.038$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$2$$ $$4$$ $$-4$$ $$q-iq^{2}+(1-i)q^{3}-q^{4}+(2-i)q^{5}+\cdots$$
130.2.j.d $$4$$ $$1.038$$ $$\Q(i, \sqrt{11})$$ None $$0$$ $$2$$ $$0$$ $$12$$ $$q+\beta _{2}q^{2}+(-\beta _{1}+\beta _{2}-\beta _{3})q^{3}-q^{4}+\cdots$$
130.2.j.e $$4$$ $$1.038$$ $$\Q(\zeta_{12})$$ None $$0$$ $$2$$ $$4$$ $$4$$ $$q-\zeta_{12}^{3}q^{2}+(1-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+\cdots$$
130.2.l.a $$4$$ $$1.038$$ $$\Q(\zeta_{12})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(1+\zeta_{12}-\zeta_{12}^{2}-2\zeta_{12}^{3})q^{3}+\cdots$$
130.2.l.b $$8$$ $$1.038$$ 8.0.22581504.2 None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+(\beta _{2}-\beta _{4}-\beta _{7})q^{3}+(1-\beta _{4}+\cdots)q^{4}+\cdots$$
130.2.m.a $$8$$ $$1.038$$ 8.0.$$\cdots$$.1 None $$-4$$ $$0$$ $$3$$ $$5$$ $$q+(-1+\beta _{3})q^{2}-\beta _{2}q^{3}-\beta _{3}q^{4}-\beta _{7}q^{5}+\cdots$$
130.2.m.b $$8$$ $$1.038$$ 8.0.$$\cdots$$.1 None $$4$$ $$0$$ $$-3$$ $$-5$$ $$q+\beta _{3}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(-1+\beta _{3}+\cdots)q^{4}+\cdots$$
130.2.n.a $$12$$ $$1.038$$ 12.0.$$\cdots$$.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}-\beta _{5}q^{3}+\beta _{8}q^{4}+(-\beta _{1}+\beta _{7}+\cdots)q^{5}+\cdots$$
130.2.p.a $$12$$ $$1.038$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+(\beta _{5}+\beta _{7}+\beta _{8}+\beta _{11})q^{3}+\cdots$$
130.2.p.b $$16$$ $$1.038$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(\beta _{3}-\beta _{5})q^{2}+(\beta _{1}-\beta _{4})q^{3}+(1+\beta _{8}+\cdots)q^{4}+\cdots$$
130.2.s.a $$12$$ $$1.038$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$-6$$ $$0$$ $$0$$ $$6$$ $$q-\beta _{3}q^{2}+(\beta _{1}-\beta _{2}-\beta _{11})q^{3}+(-1+\cdots)q^{4}+\cdots$$
130.2.s.b $$16$$ $$1.038$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$8$$ $$0$$ $$0$$ $$-6$$ $$q+(1+\beta _{8})q^{2}+(\beta _{2}-\beta _{11})q^{3}+\beta _{8}q^{4}+\cdots$$
130.3.f.a $$14$$ $$3.542$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None $$-14$$ $$0$$ $$-4$$ $$0$$ $$q+(-1-\beta _{4})q^{2}+\beta _{1}q^{3}+2\beta _{4}q^{4}+\cdots$$
130.3.f.b $$14$$ $$3.542$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None $$14$$ $$0$$ $$2$$ $$0$$ $$q+(1+\beta _{4})q^{2}-\beta _{1}q^{3}+2\beta _{4}q^{4}+\beta _{10}q^{5}+\cdots$$
130.3.h.a $$2$$ $$3.542$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$-4$$ $$0$$ $$4$$ $$q+(-1+i)q^{2}+(-2+2i)q^{3}-2iq^{4}+\cdots$$
130.3.h.b $$2$$ $$3.542$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$-4$$ $$0$$ $$-4$$ $$q+(1-i)q^{2}+(-2+2i)q^{3}-2iq^{4}+\cdots$$
130.3.h.c $$12$$ $$3.542$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$-12$$ $$4$$ $$8$$ $$-12$$ $$q+(-1+\beta _{3})q^{2}+\beta _{2}q^{3}-2\beta _{3}q^{4}+\cdots$$
130.3.h.d $$12$$ $$3.542$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$12$$ $$4$$ $$-8$$ $$12$$ $$q+(1-\beta _{3})q^{2}+\beta _{2}q^{3}-2\beta _{3}q^{4}+(-1+\cdots)q^{5}+\cdots$$
130.3.i.a $$12$$ $$3.542$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$-12$$ $$8$$ $$-12$$ $$-16$$ $$q+(-1+\beta _{2})q^{2}+(1+\beta _{2}+\beta _{4})q^{3}+\cdots$$
130.3.i.b $$12$$ $$3.542$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$12$$ $$0$$ $$4$$ $$8$$ $$q+(1-\beta _{3})q^{2}+\beta _{2}q^{3}-2\beta _{3}q^{4}+(1+\cdots)q^{5}+\cdots$$
130.3.k.a $$12$$ $$3.542$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$-12$$ $$0$$ $$0$$ $$0$$ $$q+(-1-\beta _{4})q^{2}-\beta _{2}q^{3}+2\beta _{4}q^{4}+\cdots$$
130.3.k.b $$12$$ $$3.542$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$12$$ $$0$$ $$0$$ $$-8$$ $$q+(1+\beta _{6})q^{2}+\beta _{3}q^{3}+2\beta _{6}q^{4}-\beta _{7}q^{5}+\cdots$$
130.3.o.a $$16$$ $$3.542$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-8$$ $$0$$ $$0$$ $$16$$ $$q+(\beta _{2}-\beta _{11})q^{2}+(-\beta _{3}+\beta _{5}+\beta _{6}+\cdots)q^{3}+\cdots$$
130.3.o.b $$16$$ $$3.542$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$8$$ $$0$$ $$0$$ $$32$$ $$q+(1-\beta _{3}-\beta _{6}-\beta _{7})q^{2}+(\beta _{7}+\beta _{10}+\cdots)q^{3}+\cdots$$
130.3.q.a $$8$$ $$3.542$$ 8.0.5802782976.1 None $$-4$$ $$2$$ $$24$$ $$-14$$ $$q+(\beta _{1}-\beta _{2}+\beta _{5})q^{2}+(-\beta _{2}-\beta _{3}+\beta _{5}+\cdots)q^{3}+\cdots$$
130.3.q.b $$16$$ $$3.542$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-8$$ $$-2$$ $$-28$$ $$18$$ $$q+(-1-\beta _{6}-\beta _{9}+\beta _{13})q^{2}+\beta _{15}q^{3}+\cdots$$
130.3.q.c $$32$$ $$3.542$$ None $$16$$ $$0$$ $$12$$ $$-4$$
130.3.r.a $$28$$ $$3.542$$ None $$-14$$ $$0$$ $$8$$ $$4$$
130.3.r.b $$28$$ $$3.542$$ None $$14$$ $$0$$ $$-8$$ $$-4$$
130.3.t.a $$28$$ $$3.542$$ None $$-14$$ $$0$$ $$-2$$ $$12$$
130.3.t.b $$28$$ $$3.542$$ None $$14$$ $$0$$ $$4$$ $$-12$$
130.4.a.a $$1$$ $$7.670$$ $$\Q$$ None $$-2$$ $$-2$$ $$5$$ $$8$$ $$+$$ $$q-2q^{2}-2q^{3}+4q^{4}+5q^{5}+4q^{6}+\cdots$$